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49276896256 = 210729912
BaseRepresentation
bin101101111001001000…
…011100010000000000
311201012012011200202201
4231321020130100000
51301404341140011
634345410522544
73363061464400
oct557110342000
9151165150681
1049276896256
1119997583555
129672896454
1348540015a3
1425566a0800
15143615bcc1
hexb7921c400

49276896256 has 99 divisors (see below), whose sum is σ = 114703974567. Its totient is φ = 21097359360.

The previous prime is 49276896223. The next prime is 49276896311. The reversal of 49276896256 is 65269867294.

The square root of 49276896256 is 221984.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (78382080) is a multiple of the sum of its prime factors (2016).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49723921 + ... + 49724911.

Almost surely, 249276896256 is an apocalyptic number.

49276896256 is the 221984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49276896256

49276896256 is an abundant number, since it is smaller than the sum of its proper divisors (65427078311).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49276896256 is an frugal number, since it uses more digits than its factorization.

49276896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1000 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 64.

Multiplying 49276896256 by its sum of digits (64), we get a square (3153721360384 = 17758722).

49276896256 divided by its sum of digits (64) gives a square (769951504 = 277482).

The spelling of 49276896256 in words is "forty-nine billion, two hundred seventy-six million, eight hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 991 1024 1568 1792 1982 3136 3584 3964 6272 6937 7168 7928 12544 13874 15856 25088 27748 31712 48559 50176 55496 63424 97118 110992 126848 194236 221984 253696 388472 443968 507392 776944 887936 982081 1014784 1553888 1775872 1964162 3107776 3551744 3928324 6215552 6874567 7103488 7856648 12431104 13749134 15713296 24862208 27498268 31426592 48121969 49724416 54996536 62853184 96243938 109993072 125706368 192487876 219986144 251412736 384975752 439972288 502825472 769951504 879944576 1005650944 1539903008 1759889152 3079806016 3519778304 6159612032 7039556608 12319224064 24638448128 49276896256